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Finding the Third Proportional to 6,780.75 and 14,583.75

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Solution

The third proportional to 6,780.75 and 14,583.75 is: 31,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.75 : 14,583.75 = 14,583.75 : x
  2. Step 2: Convert to fraction form
    6,780.75/14,583.75 = 14,583.75/x
  3. Step 3: Cross multiply
    6,780.75x = 14,583.75 × 14,583.75
  4. Step 4: Simplify right side
    6,780.75x = 212,685,764.06
  5. Step 5: Solve for x
    x = 212,685,764.06/6,780.75
  6. Step 6: Final answer
    x = 31,366.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.